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3 years ago

Find the x- and y-intercepts of the line with equation 8x - 4y = -64

Mathematics

2 answers:

maw [93]3 years ago

7 0

Answer:

x-intercept:8

y-intercept:16

Step-by-step explanation:

This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

8x-(4×0)=-64

-8x=-64

x=8 <= the x-intercept.

Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.

(8×0)-4y=-64

-4y=-64

y=16 <= the y-intercept .

Sphinxa [80]3 years ago

5 0

Answer:

x = 1/2

y = -8

Step-by-step explanation:

Let's solve for x.

8x−4y=−64

Step 1: Add 4y to both sides.

8x−4y+4y=−64+4y

8x=4y−64

Step 2: Divide both sides by 8.

8x/8 = 4y−64 / 8

x= 1/2 y−8

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What is the value of the expression below when c - 5 and d - 4 (c is to the second power)?

mina [271]

Well, let's write it out, shall we? 6c2-5d+8 Now plug in the numbers. 6(5^2)2-5(4)+8 Now simplify using PEMDAS Parentheses Exponents Multiplication Division Addition and Subtraction (They go together go from left to right in the equation) 5^2= 5*5 = 25 6 * 25 = 150 150 * 2 = 300 5 * 4 = 20 Rewrite the equation. 150-20+8 Use PEMDAS again ( refer to the previous mentioning) 150 - 20 = 130 130 + 8 = 138

8 0

3 years ago

Company XYZ has 34 employees in the Finance Department, 45 technicians, and 32 in the Engineering Department. The HR Department

Crank

Answer:

66.7%

Step-by-step explanation:

The total number of complaints were:

5 + 3 + 7 = 15

The percent that came from either technicians or the Finance Department is:

(5 + 3) / 15 × 100% = 66.7%

7 0

3 years ago

Evaluate n+2x2 when n=3 and x=−2.

krok68 [10]

Answer:

When n=3 and x=−2 the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

$p (n,x) = n + 2x^{2}$

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

$p (n,x) = n + 2x^{2}$

Substituting n = 3 and x = -2 we get

$p (3, -2) = 3 + 2(-2)^{2}$

Negative square gives positive number therefore (-2)²=4

$p (3, -2) = 3 + 2\times 4$

$p (3, -2) = 3 + 8\\p (3, -2) = 11$

When n=3 and x=−2 the answer is 11.

7 0

3 years ago

550000000000000000 • 0.00000000044

nasty-shy [4]

Answer:

550000000000000000 0.00000000044

Step-by-step explanation:

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5 0

2 years ago

Solve for x I need help on this question

AlexFokin [52]

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

3 0

2 years ago